Extends prior results on quadratic vector fields linked to classical orthogonal polynomials by incorporating differential Galois theory, Darboux integrability, and qualitative dynamics.
Ismail, Classical and Quantum Orthogonal Polynomials in One Variable , Encyclo- pedia of Mathematics and its Applications 98, Cambridge University Press
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Algebraic and qualitative aspects of quadratic vector fields related with classical orthogonal polynomials
Extends prior results on quadratic vector fields linked to classical orthogonal polynomials by incorporating differential Galois theory, Darboux integrability, and qualitative dynamics.